Information on Result #693311
Linear OA(2562, 15633, F25, 21) (dual of [15633, 15571, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,9]) based on
- linear OA(2561, 15626, F25, 21) (dual of [15626, 15565, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(2555, 15626, F25, 19) (dual of [15626, 15571, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2576, 15699, F25, 21) (dual of [15699, 15623, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2577, 15701, F25, 21) (dual of [15701, 15624, 22]-code) | [i] | ||
| 3 | Linear OOA(2562, 10156, F25, 2, 21) (dual of [(10156, 2), 20250, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (41, 62, 10156)-net over F25 | [i] | ||
| 5 | Linear OOA(2562, 7816, F25, 2, 21) (dual of [(7816, 2), 15570, 22]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2562, 1563, F25, 21, 21) (dual of [(1563, 21), 32761, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |